Finding the Third Proportional to 135,738 and 289,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,738 : 289,507.50 = 289,507.50 : x
2. Step 2: Convert to fraction form
   135,738/289,507.50 = 289,507.50/x
3. Step 3: Cross multiply
   135,738x = 289,507.50 × 289,507.50
4. Step 4: Simplify right side
   135,738x = 83,814,592,556.25
5. Step 5: Solve for x
   x = 83,814,592,556.25/135,738
6. Step 6: Final answer
   x = 617,473.31